Finding the Third Proportional to 33,686 and 52,845

Step by Step Solution

1. Step 1: Write the proportion equation
   33,686 : 52,845 = 52,845 : x
2. Step 2: Convert to fraction form
   33,686/52,845 = 52,845/x
3. Step 3: Cross multiply
   33,686x = 52,845 × 52,845
4. Step 4: Simplify right side
   33,686x = 2,792,594,025
5. Step 5: Solve for x
   x = 2,792,594,025/33,686
6. Step 6: Final answer
   x = 82,900.73